Evaluate using Cauchy’s Integral Formulae, where C is a square
with sides of length 4 centred at the origin:
integral: cos(z)/(z-1)^4

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OpenStudy (anonymous):

haha, now youre doing math!!!

OpenStudy (anonymous):

whats the cauchy integral formula, is it with the line integral business

OpenStudy (anonymous):

its the integral f(z)/z-w
where you choose f(z) and w

OpenStudy (anonymous):

I'm not sure what to choose as f(z), w=1 as there is a singularity at 1

OpenStudy (anonymous):

right, a pole
one sec

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OpenStudy (anonymous):

what class is this?

OpenStudy (anonymous):

2nd year undergrad maths :P

OpenStudy (anonymous):

wow

OpenStudy (anonymous):

in america?

OpenStudy (anonymous):

nope...uk

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OpenStudy (anonymous):

ahh

OpenStudy (anonymous):

you know how to figure it out?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

This is complex analysis. I know how to figure it out, but I'm currently busy at the moment.

OpenStudy (anonymous):

hanky, where i can learn complex analysis

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OpenStudy (anonymous):

without all the formal rigorous stuff. an intuitive approach

OpenStudy (anonymous):

Hmm... I can't really say. There are a few textbooks out there that'll teach you theory... you could just look through them and figure out the computational part of it.